use properties of rational numbers to multiply the following

1 answer

To multiply rational numbers, we can use the property of multiplying fractions. Let's say we want to multiply two rational numbers, a/b and c/d, where a, b, c, and d are integers.

The multiplication of two rational numbers is given by:

(a/b) * (c/d) = (a*c) / (b*d)

Therefore, to multiply the given rational numbers, just multiply the numerators and denominators:

(4/5) * (3/8) = (4*3) / (5*8) = 12/40

However, we can simplify the resulting fraction by finding the greatest common divisor (GCD) of the numerator and denominator, and dividing both by that.

The GCD of 12 and 40 is 4. So, dividing both numerator and denominator by 4:

12/40 = (12/4) / (40/4) = 3/10

Therefore, the product of (4/5) and (3/8) is 3/10.